A group of friends wants to go to the amusement park. They have no more than $190 to spend on parking and admission. Parking is $7, and tickets cost $15.25 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.

We need to set up an inequality based on the given information:

- The total amount they have to spend is no more than $190.
- Parking costs $7.
- Tickets cost $15.25 per person.

Let $ p $ represent the number of people. The total cost consists of the parking fee and the ticket price per person.

The total cost for $ p $ people is:

\[
\text{Total cost} = 7 + 15.25p
\]

Since they have no more than $190 to spend, the inequality is:

\[
7 + 15.25p \leq 190
\]

### Solving the inequality:

1. Subtract 7 from both sides:
\[
15.25p \leq 190 - 7
\]
\[
15.25p \leq 183
\]

2. Divide both sides by 15.25:
\[
p \leq \frac{183}{15.25}
\]
\[
p \leq 12
\]

### Conclusion:
The number of people, $ p $, that can go to the amusement park is at most 12. So, no more than 12 people can go.

Do you want further details or have any questions about the solution?

Here are five related questions:
1. How would the inequality change if the parking fee was $10 instead of $7?
2. What if the total budget increased to $220? How many people could go?
3. How much money would be left over if only 10 people went to the park?
4. If the price per person was reduced to $13, how many people could now attend?
5. What happens to the inequality if there is no parking fee?

**Tip:** In solving inequalities, always remember to flip the inequality sign when multiplying or dividing by a negative number.

A group of friends wants to go to the amusement park. They have no more than $190 to spend on parking and admission. Parking is $7, and tickets cost $15.25 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.

This problem involves solving an inequality to determine how many people can attend an amusement park, given a budget of $190, a $7 parking fee, and a ticket price of $15.25 per person. The solution uses basic algebra and inequality solving techniques, suitable for students in Grades 6-8.

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